NEW ALGORITHMS FOR TESTING ACCURACY OF NUMERICALLY CALCULATED TRAJECTORIES OF CHARGED-PARTICLES

The new method which enables to estimate the errors of numerically cal culated trajectories caused by inaccuracies of the Field components is proposed. The method is based on the integration of additional differ ential equations together with trajectory differential equations. The conservation laws of total energy and angular momentum can be consider ed as a subset of this method, but the new method allows to estimate t he trajectory or field defects even in cases where the traditional con servation laws would fail, for example for magnetic fields without rot ational symmetry.